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Answer :
Final answer:
To find the lean body mass of a person weighing 200 pounds with 22% body fat, calculate the fat mass (44 pounds) and subtract it from the total body weight, resulting in a lean body mass of 156 pounds.
Explanation:
To calculate the lean body mass of someone who is 200 pounds with 22% body fat, we first determine the amount of fat mass (FM) and then subtract this from the total body weight to find the fat-free mass (FFM), also known as lean body mass.
The fat mass can be calculated as follows:
- Fat mass (FM) = Total body weight * (body fat percentage / 100)
- FM = 200 pounds * (22% / 100) = 200 pounds * 0.22 = 44 pounds
Next, we subtract the fat mass from the total body weight to get the lean body mass:
- Lean body mass (FFM) = Total body weight - FM
- FFM = 200 pounds - 44 pounds = 156 pounds
Therefore, the lean body mass of someone who is 200 pounds with 22% body fat is 156 pounds (option a).
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